Find angle a in the following triangle
35.54 degrees
35.67 degrees
36.24 degrees
36.77 degrees

35.54 degrees

Step-by-step explanation:

For A, we have the opposite side (5) and the adjacent side (7). We can use the inverse of tan and to tan⁻¹(5/7) to get 35.54

We use the inverse of tan because tanΘ=opposite/adjacent, and we want to find the angle. We multiply both sides by the inverse bc that's what we would do if it was a number, and then get tan⁻¹(5/7)

Hope this helps. Sorry if I added too much explaination

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: